We will be completing the unit on Rational Exponents and Radicals after the break. This is the final unit that Mr. McCorkle will be teaching. Upon his departure, I will begin the next unit which covers the first Conic Section - Circles. We will be investigating the equations of circles, their properties, and the equations of tangent lines. We will also find solutions to systems of equations that include circles.
The standards for this unit include:
MM3G1. Students will investigate the relationships between lines and circles. a. Find equations of circles. b. Graph a circle given an equation in general form. c. Find the equation of a tangent line to a circle at a given point. d. Solve a system of equations involving a circle and a line. e. Solve a system of equations involving two circles. MM3G2. Students will recognize, analyze, and graph the equations of the conic sections (parabolas, circles, ellipses, and hyperbolas). a. Convert equations of conics by completing the square. b. Graph conic sections, identifying fundamental characteristics. c. Write equations of conic sections given appropriate information. MM3G3. Students will investigate planes and spheres. c. Recognize and understand equations of planes and spheres.
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